6251274225 has 135 divisors (see below), whose sum is σ = 13523934171. Its totient is φ = 2846340000.

The previous prime is 6251274203. The next prime is 6251274241. The reversal of 6251274225 is 5224721526.

The square root of 6251274225 is 79065.

It is a perfect power (a square), and thus also a powerful number.

6251274225 is a `hidden beast` number, since 625 + 1 + 2 + 7 + 4 + 2 + 25 = 666.

6251274225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2250458721 + 4000815504 = 47439^2 + 63252^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 6251274225 - 2¹⁵ = 6251241457 is a prime.

It is a super-2 number, since 2×6251274225² = 78156858872298701250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6251274225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 24905350 + ... + 24905600.

Almost surely, 2^6251274225 is an apocalyptic number.

6251274225 is the 79065-th square number.

6251274225 is the 39533-rd centered octagonal number.

It is an amenable number.

6251274225 is an abundant number, since it is smaller than the sum of its proper divisors (7272659946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6251274225 is an equidigital number, since it uses as much as digits as its factorization.

6251274225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 266 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The cubic root of 6251274225 is about 1842.1409217483.

Multiplying 6251274225 by its sum of digits (36), we get a square (225045872100 = 474390²).

The spelling of 6251274225 in words is "six billion, two hundred fifty-one million, two hundred seventy-four thousand, two hundred twenty-five".